We're dividing 971409 by 66 
We want to figure out the number of times 971409 can be divided by 66.

Going ahead to step 1:
The number 66 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 66

Moving on to step 2:
When dividing 97 by 66, we get 1 with a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 66 away from 97, we end up with 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 66

Step 3:
311 divided by 66 is 4 with a remainder of 47.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we subtract 264 from 311, we get 47.
Append the next digit (4) from the dividend to 47 and continue with: 474 / 66

Moving on to step 4:
If we divide 474 by 66, we get 7 and a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 147.0
Subtract 462 from 474 to get 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 66

Going ahead to step 5:
When dividing 120 by 66, we get 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 1471.0
The remainder is 54 after subtracting 66 from 120.
Take the next digit (9) from the dividend and append it to 54, then repeat: 549 / 66

Going ahead to step 6:
The number 66 fits into 549 8 times, leaving a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 14718.0
Deduct 528 from 549 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
210 divided by 66 is 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 14718.3
If we take 198 away from 210, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
66 goes into 120 1 times with a remainder of 54.
The next digit of our result is 1. 
Result so far: 14718.31
If we subtract 66 from 120, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 9:
If we divide 540 by 66, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 14718.318
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
66 goes into 120 1 times with a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 14718.3181
The remainder is 54 after subtracting 66 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 11:
66 goes into 540 8 times with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 14718.31818
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
The number 66 fits into 120 1 times, leaving a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 14718.318181
The remainder is 54 after subtracting 66 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 13:
If we divide 540 by 66, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 14718.3181818
Subtracting 528 from 540 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
120 divided by 66 is 1 with a remainder of 54.
Use 1 as the next digit of our solution. 
Result so far: 14718.31818181
Subtract 66 from 120 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

In conclusion, the division gives 14718.31818181 with a balance of 5.4e-08.